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Finding the Fourth Proportional to 9,849.08, 13,596.11 and 5,871.57

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Solution

The fourth proportional to 9,849.08, 13,596.11 and 5,871.57 is: 8,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.08 : 13,596.11 = 5,871.57 : x
  2. Step 2: Convert to fraction form
    9,849.08/13,596.11 = 5,871.57/x
  3. Step 3: Cross multiply
    9,849.08x = 13,596.11 × 5,871.57
  4. Step 4: Simplify right side
    9,849.08x = 79,830,482.23
  5. Step 5: Solve for x
    x = 79,830,482.23/9,849.08
  6. Step 6: Final answer
    x = 8,105.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.